The real estate agent’s name will be announced later Thursday. Prospective buyers can start looking at the house Monday, says John Blanchette, the couple’s publicist.

The mansion off of Sunset Boulevard was originally built by Howard Hughes, and Elvis Presley lived there for about four years while he filmed movies in Los Angeles, Prinz von Anhalt told entertainment website TMZ. (Pictures are here.) Gabor purchased the home from Presley’s estate in the 1970s, for $600,000, Blanchette said.

Maintaining the home, which is roughly 8,000 square feet with 26 rooms, is becoming too much for the couple because of their age and health problems. They want to move to a smaller Westwood condo more amenable to Gabor’s wheelchair. Gabor, a Hungarian-born sex symbol of the 1950s and 1960s who will soon turn 94, recently had her right leg amputated.

“They have to heat the whole house in winter and you have the problems with an aging house – roof and plumbing and that kind of thing,” said Blanchette, who has been Gabor’s publicist since 1983 – longer than seven of her husbands.

He doesn’t think the home will have any problem selling, even in a down market. “It’s a historic house at the top of Bel Air Road,” Blanchette says. “From the patio on a clear day you can see Catalina Island. It’s a spectacular house.”

Plus, he adds, it’s an address with history: “If only the house could talk.”